Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction

Abstract

A spin-1/2 Heisenberg model with a chirality-chirality interaction (CCI) on a two-leg ladder provides a minimal setup to explore an interplay between spin and chirality degrees of freedom. This model is potentially relevant for understanding the effects of a four-spin ring exchange and a phonon-mediated interaction on a ladder. By applying the Abelian bosonization and two types of spin-chirality duality, we derive a comprehensive ground-state phase diagram that includes previously unexplored cases of a ferromagnetic rung exchange $J_{\perp }<0$ or a negative CCI $K_{\mathrm{ch}}<0$. The phase diagram consists of the rung singlet (RS) phase, the Haldane phase, and three non-magnetic ordered phases. Moreover, the RS and Haldane phases consist of several regions with different dominant correlations in terms of spin, dimer, or chirality. We perform numerical simulations to confirm the predicted phase structure and critical properties.

arXiv comment16 pages, 13 figures. arXiv admin note: text overlap with arXiv:2311.07053

References in corpus (70)

• Entanglement Entropy and Quantum Field Theory
• Bosonization and Strongly Correlated Systems
• The ITensor Software Library for Tensor Network Calculations
• The Quantum-Mechanical Position Operator in Extended Systems
• Magnetization plateaus in spin chains: ``Haldane gap'' for half-integer spins
• Spin waves and electronic interactions in La2CuO4
• Electron Localization in the Insulating State
• From density-matrix renormalization group to matrix product states
• Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ-(ET)_2 Cu_2 (CN)_3
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
• Theory of finite-entanglement scaling at one-dimensional quantum critical points
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Spin Liquid in the Multiple-Spin Exchange model on the Triangular lattice: 3He on graphite
• A Monte Carlo Study of Correlations in Quantum Spin Ladders
• One-dimensional spin-liquid without magnon excitations
• Alternating Spin and Orbital Dimerization in Strong-coupling Two-band Models
• Topological phases in ultracold polar-molecule quantum magnets
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Effects of biquadratic exchange on the spectrum of elementary excitations in spin ladders
• Criticality in self-dual sine-Gordon models
• Phase Transitions Between Topologically Distinct Gapped Phases in Isotropic Spin Ladders
• Wigner Glass, Spin-liquids, and the Metal-Insulator Transition
• Order Parameter to Characterize Valence-Bond-Solid States in Quantum Spin Chains
• Quantum-Mechanical Position Operator and Localization in Extended Systems
• Phase diagram of a 1 dimensional spin-orbital model
• Finitely Correlated Generalized Spin Ladders
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• From Neel long-range order to spin-liquids in the multiple-spin exchange model
• Spectral Properties of Magnetic Excitations in Cuprate Two-Leg Ladder Systems
• Lattice Twisting Operators and Vertex Operators in Sine-Gordon Theory in One Dimension
• Cyclic Spin Exchange in Cuprate Spin Ladders
• Generalized two-leg Hubbard ladder at half-filling: Phase diagram and quantum criticalities
• Quantum dimer phases in a frustrated spin ladder: Effective field theory approach and exact diagonalization
• Perturbation theories for the S=1/2 spin ladder with four-spin ring exchange
• Spin-chirality duality in a spin ladder with four-spin cyclic exchange
• Phase Diagrams from Topological Transitions: The Hubbard Chain with Correlated Hopping
• Spin coupling in zigzag Wigner crystals
• Phase diagram of the frustrated spin ladder
• Effect of symmetry breaking perturbations in the one-dimensional SU(4) spin-orbital model
• Quantum phase transitions in multileg spin ladders with ring exchange
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• Phase Diagram of the Heisenberg Spin Ladder with Ring Exchange
• Systematic Derivation of Order Parameters through Reduced Density Matrices
• Identification of topologically different valence bond states in spin ladders
• Chiral spin pairing in helical magnets
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• Quantum Fluctuations of Chirality in One-Dimensional Spin-1/2 Multiferroics: Gapless Dielectric Response from Phasons and Chiral Solitons
• Scalar chiral ground states of spin ladders with four-spin exchanges
• Quantum fluctuations in quantum lattice-systems with continuous symmetry
• Topological phase transition and ${\mathbb{Z}}_2$ index for $S=1$ quantum spin chains
• Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection
• Universality class of S=1/2 quantum spin ladder system with the four spin exchange
• Competing Orders and Hidden Duality Symmetries in Two-leg Spin Ladder Systems
• Staggered dimer order in S=1/2 quantum spin ladder system with four spin exchange
• Phases of the generalized two-leg spin ladder: A view from the SU(4) symmetry
• A model of chiral spin liquids with Abelian and non-Abelian topological phases
• Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Competing phases in spin ladders with ring exchange and frustration
• Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
• Model of spin liquids with and without time-reversal symmetry
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction